1. If y = ax² + b, then \(\frac{dy}{dx}\) at x = 2 is equal to ax

2. If x sin (a + y) = sin y, then \(\frac{dy}{dx}\) is equal to

3. If x \(\sqrt{1+y}+y\sqrt{1+x}\) = 0, then \(\frac{dy}{dx}\) =

4. If y = x tan y, then \(\frac{dy}{dx}\) =

5. If y = (1 + x) (1 + x²) (1 + x) …….. (1 + x), then the value of \(\frac{dy}{dx}\) at x = 0 is

6. If f(x) = \(\frac{5x}{(1-x)^{2/3}}\) + cos² (2x + 1), then f'(0) =

7. If sec(\(\frac{x^2-2x}{x^2+1}\)) – y then \(\frac{dy}{dx}\) is equal to

8. If f(x) = \(\sqrt{1+cos^2(x^2)}\), then the value of f’ (\(\frac{√π}{2}\)) is

9. Differential coefficient of \(\sqrt{sec√x}\) is

10. Let f(x)={\(_{1-cos x, for x ≤ 0}^{sin x, for x > 0}\) and g (x) = e. Then the value of (g o f)’ (0) is